A perturbative expansion for entanglement entropy in string theory

TL;DR

This paper develops a perturbative method to compute space-time entanglement entropy in string theory by relating target space and worldsheet replica trick constructions, revealing new constraints and relations.

Contribution

It introduces a novel perturbative expansion framework connecting target space and worldsheet entanglement in string theory, including bosonic and superstring cases.

Findings

Derived constraints on amplitudes from matching replica constructions

Established relations between target space and worldsheet entanglement

Discussed generalization to superstring theory

Abstract

We derive a perturbative expansion for space time entanglement entropy in string theory by comparing replica trick constructions on the target space and on the worldsheet. Requiring the two approaches to match implies a set of constrains on the amplitudes involved and produces a non-trivial relation among target space and world sheet entanglement. We will be mainly interested in bosonic string on a flat background but also discuss the superstring generalization.